Answer:
Step-by-step explanation:
<u>Given line:</u>
It has a slope of 2/3.
<u>Perpendicular lines have negative-reciprocal slopes, so the perpendicular slope is:</u>
<u>Find its equation provided it passes through the point (4, - 2):</u>
- y - (-2) = - 3/2(x - 4)
- y + 2 = - 3/2(x - 4)
The simplified fraction of 49\112 is 7/16. This results from you finding a common number which can divide into 49 and 112 equally. In this case the number is 7. Resulting in the answer 7/16.
Answer:
In this scenario, we will use the <u>femur or the thigh</u> bone length as the explanatory variable.
Step-by-step explanation:
Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variables in the model are changed.
The dependent variables are also known as response variables.
Independent variables are the variables that are being altered to see a proportionate change in the dependent variable. In a regression model there can be one or more than one independent variables.
The independent variables are also known as the explanatory variables.
Scientifically it is believed that the length of arm and legs are related and basically grow at the same time.
So, in this case the explanatory variable can either of the two bone lengths.
Thus, the complete statement is:
"In this scenario, we will use the <u>femur or the thigh</u> bone length as the explanatory variable."
Answer:
Principal Invested in Municipal Bonds is $16,000
Principal Invested in Corporate Bonds is $15,000
Step-by-step explanation:
If;
Principal Invested in municipal bonds = a
Principal Invested in corporate bonds = b
then we have;
a + b = $31,000
--------------------------------Equation 1
0.075a + 0.085b = $2,475 ---------------Equation 2
From equation 1 we have;
a = 31,000 - b
By putting the values of a in Equation 2 we get;
0.075 (31,000 - b) + 0.085b = 2,475
2,325 - 0.075b + 0.085b = 2,475
0.01b = 150
b = $15,000
By putting the values of b in equation 1 we get;
a = $16,000
Answer:
7
Step-by-step explanation:
(x-2)^2
x^2-4x+4
-3^2-4(-3)+4=7
